Least Common Multiple of 10138 and 10142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10138 and 10142 the smallest integer that is 51409798 that is divisible by both numbers.

Least Common Multiple (LCM) of 10138 and 10142 is 51409798.

LCM(10138,10142) = 51409798

LCM of 10138 and 10142

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 10138 and 10142

LCM of 10138 and 10142 is 51409798

Least common multiple can be found by multiplying the highest exponent prime factors of 10138 and 10142. First we will calculate the prime factors of 10138 and 10142.

Prime Factorization of 10138


2 10138
37 5069
137 137
1

Prime factors of 10138 are 2, 37,137. Prime factorization of 10138 in exponential form is:

10138 = 21×371×1371

Prime Factorization of 10142


2 10142
11 5071
461 461
1

Prime factors of 10142 are 2, 11,461. Prime factorization of 10142 in exponential form is:

10142 = 21×111×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 10138 and 10142.

LCM(10138,10142) = 21×111×371×1371×4611
LCM(10138,10142) = 51409798

Factors of 10138

List of positive integer factors of 10138 that divides 10138 without a remainder.

1, 2, 37, 74, 137, 274, 5069, 10138

Factors of 10142

List of positive integer factors of 10142 that divides 10142 without a remainder.

1, 2, 11, 22, 461, 922, 5071, 10142

Least Common Multiple of 10138 and 10142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10138 and 10142, than apply into the LCM equation.

GCF(10138,10142) = 2
LCM(10138,10142) = ( 10138 × 10142) / 2
LCM(10138,10142) = 102819596 / 2
LCM(10138,10142) = 51409798

Properties of LCM 10138 and 10142

(i) The LCM of 10142 and 10138 is associative

LCM of 10138 and 10142 = LCM of 10142 and 10138

Related Least Common Multiples of 10138

Related Least Common Multiples of 10142

Frequently Asked Questions on LCM of 10138 and 10142

1. What is the LCM of 10138 and 10142?

Answer: LCM of 10138 and 10142 is 51409798.

2. What are the Factors of 10138?

Answer: Factors of 10138 are 1, 2, 37, 74, 137, 274, 5069, 10138. There are 8 integers that are factors of 10138. The greatest factor of 10138 is 10138.

3. What are the Factors of 10142?

Answer: Factors of 10142 are 1, 2, 11, 22, 461, 922, 5071, 10142. There are 8 integers that are factors of 10142. The greatest factor of 10142 is 10142.

4. How to Find the LCM of 10138 and 10142?

Answer:

Least Common Multiple of 10138 and 10142 = 51409798

Step 1: Find the prime factorization of 10138

10138 = 2 x 37 x 137

Step 2: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 51409798 = 2 x 11 x 37 x 137 x 461

Step 4: Therefore, the least common multiple of 10138 and 10142 is 51409798.